Question

7. Use the given sketches of matchsticks to draw the next pattern in the sequence. Then use equations to describe the rule and determine the $n^{th}$ term. Finally, complete the tables that follow. Pattern 1 Term (pattern) No of matches used Pattern 2 Pattern 3 1 2 3 4 5 18 n 34

          7.
Use the given sketches of matchsticks to draw the next pattern in the sequence.
Then use equations to describe the rule and determine the $n^{th}$ term. Finally,
complete the tables that follow.
Pattern 1
Term (pattern)
No of matches used
Pattern 2
Pattern 3
1
2
3
4
5
18
n
34

7.
Use the given sketches of matchsticks to draw the next pattern in the sequence.
Then use equations to describe the rule and determine the n^th term. Finally,
complete the tables that follow.
Pattern 1
Term (pattern)
No of matches used
Pattern 2
Pattern 3
1
2
3
4
5
18
n
34

Added by Miranda S.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Manisha Sarker

Step 1

Now, let's determine the rule and find the nth term. The rule for this pattern can be described as follows: Number of matchsticks used = Pattern number + 1 Using this rule, we can find the nth term by substituting the pattern number into the equation. For Show more…

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Sketches of matchsticks to draw the next pattern in the second. Use the given equation to describe the rule and determine the nth term. Finally, complete the tables that follow: Pattern 3 Pattern 2 Pattern 18 2 | 3 | 4 | 5 Term (pattern) Number of matches used 34